Atkin-Lehner |
11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
12221a |
Isogeny class |
Conductor |
12221 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
21650246981 = 118 · 101 |
Discriminant |
Eigenvalues |
0 0 3 0 11- 5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3146,67548] |
[a1,a2,a3,a4,a6] |
j |
1943764992/12221 |
j-invariant |
L |
2.430253276398 |
L(r)(E,1)/r! |
Ω |
1.215126638199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109989o1 1111a1 |
Quadratic twists by: -3 -11 |